Congratulations, Rob! I can't help with your question, except to say I know some of the older batteries developed the "memory" problem and had to be fully discharged occasionally to have full power. Hopefully, someone here who really knows about the new iPhones will chime in...

You're thinking of NiCad batteries. The battery in your iPhone 4S is a Li Ion polymer battery. It is basically a paste inside a foil packet that holds a charge. Li Ion batteries, to the best of my knowledge, don't have memory issues like NiCad batteries do. I'm sure that someone will correct me if I'm wrong, and someone will probably try to correct even if I'm right.